Algebras of truncated Toeplitz operators

Mathematics – Functional Analysis

Scientific paper

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20 pages, one minor correction made 11/18/10 to the proof of Prop. 6.1 (1)

Scientific paper

We find necessary and sufficient conditions for the product of two truncated
Toeplitz operators on a model space to itself be a truncated Toeplitz operator,
and as a result find a characterization for the maximal algebras of bounded
truncated Toeplitz operators.

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